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Finding the Fourth Proportional to 966.09, 1,449.14 and 381.07

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Solution

The fourth proportional to 966.09, 1,449.14 and 381.07 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,449.14 = 381.07 : x
  2. Step 2: Convert to fraction form
    966.09/1,449.14 = 381.07/x
  3. Step 3: Cross multiply
    966.09x = 1,449.14 × 381.07
  4. Step 4: Simplify right side
    966.09x = 552,223.78
  5. Step 5: Solve for x
    x = 552,223.78/966.09
  6. Step 6: Final answer
    x = 571.61

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.